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Finding the Fourth Proportional to 88.23, 132.26 and 36.91

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Solution

The fourth proportional to 88.23, 132.26 and 36.91 is: 55.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.23 : 132.26 = 36.91 : x
  2. Step 2: Convert to fraction form
    88.23/132.26 = 36.91/x
  3. Step 3: Cross multiply
    88.23x = 132.26 × 36.91
  4. Step 4: Simplify right side
    88.23x = 4,881.29
  5. Step 5: Solve for x
    x = 4,881.29/88.23
  6. Step 6: Final answer
    x = 55.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.